The Secretary of War was a member of the President'sCabinet since Washington's administration. At first, he was responsible for all military affairs. In 1798, the Secretary of the Navy was added to the cabinet, and the scope of this office was reduced to a general concern with the Army. In 1947, the departments were recombined under the Secretary of Defense. The Secretary of War was replaced by the Secretary of the Army[?], a non-Cabinet position under the Secretary of Defense.
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Note that when computing roots numerically, the usual form of the quadratic formula is not ideal. See Loss of significance fo ...